{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VJQAHSACIHQQQA2WACJC3YYMXN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8374f79de5cb8d449884c6c096d7ca1e03128dd2889f49fd1529ce50edd795d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-06-21T17:53:36Z","title_canon_sha256":"711b41dee28640957934f650ef22131f182fb5b35e49192d3da806bab8a4d913"},"schema_version":"1.0","source":{"id":"1806.08347","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08347","created_at":"2026-05-18T00:03:05Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08347v1","created_at":"2026-05-18T00:03:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08347","created_at":"2026-05-18T00:03:05Z"},{"alias_kind":"pith_short_12","alias_value":"VJQAHSACIHQQ","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VJQAHSACIHQQQA2W","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VJQAHSAC","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:8ec419a5eb357dd731c08d633b6b09af4d9cc9b0530b10a962af2efca2b20a81","target":"graph","created_at":"2026-05-18T00:03:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We revisit the problem of the equations of motion of a system of $N$ self-interacting massive particles (without spins) in the first post-Minkowskian (1PM) approximation of general relativity. We write the equations of motion, gravitational field and associated conserved integrals of the motion in a form suitable for comparison with recently published post-Newtonian (PN) results at the 4PN order. We show that the Lagrangian associated with the equations of motion in harmonic coordinates is a generalized one, and compute all the terms linear in $G$ up to 5PN order. We discuss the Hamiltonian in","authors_text":"Athanassios S. Fokas, Luc Blanchet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-06-21T17:53:36Z","title":"Equations of motion of self-gravitating $N$-body systems in the first post-Minkowskian approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08347","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dbce58f6b8e41df4bceb2e7bf372355b39378c5346ad4cd76011c28b836e7256","target":"record","created_at":"2026-05-18T00:03:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8374f79de5cb8d449884c6c096d7ca1e03128dd2889f49fd1529ce50edd795d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-06-21T17:53:36Z","title_canon_sha256":"711b41dee28640957934f650ef22131f182fb5b35e49192d3da806bab8a4d913"},"schema_version":"1.0","source":{"id":"1806.08347","kind":"arxiv","version":1}},"canonical_sha256":"aa6003c80241e108035600922de30cbb5fc270e2992573188a00848697c789cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa6003c80241e108035600922de30cbb5fc270e2992573188a00848697c789cf","first_computed_at":"2026-05-18T00:03:05.087160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:05.087160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kuAlZ396jCsYLPpxRJlbiQXFh4IVNzFphCUWkeLyH+fcQBe2KHMYkT0ElwTbAR/+sj/11191YI5HXWB94kNhCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:05.087666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.08347","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbce58f6b8e41df4bceb2e7bf372355b39378c5346ad4cd76011c28b836e7256","sha256:8ec419a5eb357dd731c08d633b6b09af4d9cc9b0530b10a962af2efca2b20a81"],"state_sha256":"e747230b0f9b9cd790286168398acad2f0e5837af6461a685d38e0ed2c88a1b2"}